Chapter 292: From Logic to Mathematics (1/3)
This...
Is this serious?
Everyone present was deeply skeptical.
No joke, although it's just a game of guessing the code, most people see it as a probabilistic challenge.
Of course
Some people use probability limit theory, others use probability distributions, i.e., the probabilistic properties of random variables, and some go too far and use Markov processes to study the spatial problems of the state of discrete event dynamic systems.
But
The probability of all four-digit passwords appearing is 5,000 times a 5,000 if possible.
After that, everyone began to expand, because this is a four-digit password set artificially, and from the situation of human thinking, the probability of the occurrence of the four-digit password is no longer possible, and the number of attempts will be greatly reduced.
thereafter
The small locker has become a carnival for many mathematical geniuses and teachers, who are swaying their youth in probability theory.
Outcome...
Come out a man,
He came up and put an end to this carnival of probability theory.
“...”
“...”
“...”
Is this a random event?
How could it be otherwise?!
Saying
Who is he?
meanwhile
The most angry is Yang Xiaoman, she feels that she has been tricked and deceived by this guy.
Yang Xiaoman: (# ̄~ ̄#)
It's so angry!
I was actually deceived!
The night will cost you dearly!
"Huh?"
"You... You seem to be Xu Mang, right?" a student present recognized Xu Mang, who was a member of the team from Zhejiang Province, who had played against Xu Mang in the Zhejiang Provincial Mathematics Olympiad, and then lost... Since then, Xu Mang's face has been remembered.
“...”
"I'm not!" Xu Mang hurriedly shook his head: "My name is Xu Yang!"
"You..."
"Aren't you Xu Mang?" the student asked with a puzzled face, "Why do you have a face that is as bad as Xu Mang?"
I...
You're too much!
Xu Mang heard the words of this student, almost no breath, this person is young, he actually has such a serious cataract, obviously he has a prosperous and beautiful face, but in his eyes it is a face that is not beaten, I'm afraid it's not the late stage of cataract, right?
"You'd better go to the ophthalmologist. Xu Mang said solemnly: "I'm afraid you'll be blind tomorrow!"
Words fall,
The student excitedly shouted: "You are Xu Mang! With this cheap energy in you, there is no more cheap person in the world than you!"
Xu Mang?
Is he Xu Mang?
Who is Xu Mang?
The vast majority of people don't know Xu Mang, after all, Xu Mang has only made some achievements in materials science and physics, but in the field of mathematics, he has never made any achievements, and his influence is limited to the magic capital, the capital and Zhejiang Province.
The capital is more special, because the test site of the materials science database is selected in the capital and the magic capital, and the universities in the capital have more or less heard of Xu Mang.
Other... I'm sorry, I don't know!
"Classmate, how did you calculate the password at one time?"
"What theory was used?"
"Is it a coincidence?"
moment
Xu Mang was surrounded by a group of people, and he was a little confused at this time.
"Uh..."
"Actually, I didn't use mathematical thinking to think about this cryptographic probability problem. Xu Mang said cautiously: "I use the behavioral logic in psychology to think about the possibility of passwords, which has nothing to do with mathematics. ”
"I'm sorry..."
"I cheated. Xu Mang said embarrassedly: "In the face of this possible situation, no matter how you calculate it objectively, the final answer is the same, unless subjective consciousness is added." ”
"And I gave up on objectivity and chose subjectivity. Xu Mang said: "Consider the problem from the logical behavior of people, add a little deduction of your own, and finally come up with a correct password." ”
At this point,
One of the leading teachers asked: "I have also considered subjectivity, but I need a reference condition, and this locker only has a password, and I don't know any other information, how to find a valuable subjective consciousness?"
This is the doubt of all people, the lack of a reference, and thus the lack of a condition.
Xu Mang smiled and said silently: "You may not have noticed the wear and tear on the password button, I just referred to this wear and tear to make an inference." ”
Wear and tear?
Not to mention,
If you look closely, you really find that it is slightly dim.
But
If you don't look closely, you can't find it, how did he see it?
"That's not right!"
"You didn't go near the locker before, how did you find out about this?" said one student, "I can't even notice it when I'm standing so close." ”
"Because you're a top student!"
"And I used to be a scumbag!" Xu Mang suddenly surged with a long-lost sense of scumbag pride.
scumbag,
With an innate special ability, their eyesight is very good, and with a gap of one meter, the scumbag can take advantage of the opportunity to glance at the answers on the exam papers of nearby students, and make a perfect copy.
truly
You can't find it if you don't look closely, but Xu Mang, with nearly ten years of experience, can accurately distinguish the color difference of the paint on the keys.
I have to say,
Sometimes the scumbag experience is quite useful.
It's just that...
The people present were a little confused about Xu Mang's answer, can this scumbag be linked to eyesight?
After this,
This group of extremely boring mathematicians, including Xu Mang, engaged in a fierce debate on whether mathematics had reached perfect axiomatic deduction and whether it could ensure that there were no internal contradictions.
At present, mathematics has the limitations of axiomatization, and some of the procedures for mathematical proof cannot be determined to be consistent with the formal axiom procedures.
Let's take the locker as an example,
It is impossible to get a perfect answer with pure mathematics, but it is possible to get a perfect solution by relying on human subjective thinking, and this solution cannot be expressed in mathematics.
therefore
This group of boring mathematicians formed two sides, one way believing that mathematics could not reach perfect axiomatic deductions, and that some problems must have internal contradictions, and the other side believing that mathematics would be able to achieve perfect axiomatic deductions in the future, and there would be no contradictions.
The two sides began to compete with each other, and there was even the possibility of making a move.
In the end, Xu Mang stood up.
In his philosophy, human wisdom cannot be replaced by complete formulas, such as the process of using behavioral psychology to crack the locker, which is not possible without any formula.
therefore
In the case of formal systems, 'provability' can be achieved mechanically, but 'true' requires further consideration.
A provable proposition must be true, but a true proposition is not necessarily provable.
It's a pity... Xu Mang's remarks did not have any effect, but made the contradictions between the two sides spread even more, and almost didn't really fight...
soon
The crowd dispersed in displeasure, and Xu Mang's troubles had just begun.
"Hey, hey, hey!"
"I'll be in charge of the money at home in the future. Xu Mang looked at Xiao Man with a smug face, and said triumphantly: "You have to learn how to do laundry, cooking, and mopping the floor, do you know?
"Humph!"
"You repeat, who cares about the money at home?" Yang Xiaoman said disdainfully: "Have I promised you anything?"
Xu Mang: Σ(°△°|||) ︴
Not good!
Xiao Man is planning to turn his face and not recognize people!
What to do?
"I..."
"I have recordings. Xu Mang turned on his mobile phone to record, and then there was a clip of Xiao Mankua going to the sea.
But
In front of the iron-like evidence, Yang Xiaoman was unmoved, and said indifferently: "This is fake!"
Xu Mang shrank his head, he knew that Xiao Man was planning to repay the debt, but there was nothing he could do, who couldn't beat her...
Think about your mother,
Think about your own New Year's money in the past, say what to save for you first, and ask your mother to get it if you want to.
The next day, I went to get the money, but I was asked, do you have any New Year's money?
Alas...
Woman!
"What about my twice-a-week all-nighters?" Xu Mang asked, "Does it count?"
"What do you think?" Yang Xiaoman said proudly.
“...”
"Xiao Man?" Xu Mang said bitterly: "Is your father living in dire straits all day long?"
...
Finally waited for Xiao Man to play,
Xu Mang was still in his arms before, and originally thought that he had tricked Xiao Man, but in the end he was tricked by Xiao Man.
It is said that love makes women stupid, which was true in the past, but recently I found that Xiao Man is becoming more and more shrewd, and there is a feeling of wanting to be an empress...
Xu Mang sighed, silently took out his mobile phone, opened Hearthstone, and then angrily krypton 10,000 yuan.
Open the card pack!
Only a golden legend can save one's own fragile heart.
"Ordinary!"
"Ordinary!"
"Rare!"
opened and opened, the card pack in front of him was almost finished, and Xu Mang's heart gradually became fragile.
"Wow! golden... Ordinary. ”
Xu Mang: WDNMD
quit
Unload.
Xu Mang said goodbye to the Hearthstone Circle.
Taking advantage of this boring time, Xu Mang began to think about upgrading the materials science database, in fact, the technology is not a problem, the problem is not enough money... Deputy Director Zhou casually made a request, which required a large amount of capital investment.
Logically speaking, this money will be issued by the scientific research department, but a sum of money has just been issued, and it has not been a month yet, and the money is not enough... It seems a bit excessive.
Or...
Rising prices?
Xu Mang considered that the price increase of the software to collect R&D expenses, first of all, from the moral and legal point of view, the price increase is a natural thing, the software itself is used to serve customers, and now in order to improve the quality of service, the price increase can also be illegal?
Second
The upgrade of the database was proposed by the deputy director of the Department of Materials of Tsinghua University, and it was not for no reason to upgrade, this is a passive upgrade, and it is also a forced upgrade, and the money cannot be paid by itself.
Combining the above two points, this money is from Qingda!
But who will pay for the big money... Then let them figure it out on their own.
Thinking of this,
Xu Mang made a phone call to Deputy Director Zhou, and the two had saved their numbers before.
"Hello?"
"Director Zhou!" Xu Mang said solemnly: "I suddenly remembered something, don't you want me to upgrade the database, I thought about it for a while... The technical aspect is not a problem, but who pays for it?"
......